/*
* INSANE - Interactive Structural Analysis Environment
*
* Copyright (C) 2003-2005
* Universidade Federal de Minas Gerais
* Escola de Engenharia
* Departamento de Engenharia de Estruturas
* 
* Author's email :    insane@dees.ufmg.br
* Author's website :  http://www.dees.ufmg.br/insane
* 
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or any later version.
* 
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
* 
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
*/
package br.ufmg.dees.insane.shape;

import br.ufmg.dees.insane.util.IMatrix;
import br.ufmg.dees.insane.util.IVector;


/**
*A class representing a shape in cartesian coordinates.
*
*@author Fonseca, Flavio & Pitangueira, Roque
*@version 1.0
*@since September 2003
*/

public interface ShapeCart extends Shape {
	
	/** Returns the integrated shape function for this type of Shape, evaluated for the specified length and limits of integration.
	*@return The integrated shape function for this type of Shape, evaluated for the specified length and limits of integration.
	*@param a The array containing the coordinates of the initial limit of integration.
	*@param b The array containing the coordinates of the final limit of integration.
	*@param cN The matrix containing nodal coordinates in cartesian system.
	*/
	public IVector getIntegratedShapeFunction(double[] a, double[] b, IMatrix cN);
	
	/** Returns the integrated shape function multiplied by x for this type of Shape, evaluated for the specified length and limits of integration.
	*@return The integrated shape function multiplied by x for this type of Shape, evaluated for the specified length and limits of integration.
	*@param a The array containing the coordinates of the initial limit of integration.
	*@param b The array containing the coordinates of the final limit of integration.
	*@param cN The matrix containing nodal coordinates in cartesian system.
	*/
	public IVector getIntegratedShapeFunctionTimesX(double[] a, double[] b, IMatrix cN);
	
	/** Returns the IMatrix containing the values of shape function derived three times and evalueted in provided points.
	*@param g The array containing the coordinates which the shape function will be evalueted.
	*@param cN The matrix containing nodal coordinates in cartesian system.
	*@return The IMatrix containing the values of shape function derived three times in and evalueted in provided points.
	*/
	public abstract IMatrix getThirdDerivedShapeFunction(double[] g, IMatrix cN);
}
